| Process | Requirements per Unit Time | Output per Unit Time | |||||||
|---|---|---|---|---|---|---|---|---|---|
| Raw Material 1 (units) | Raw Material 2 (units) | Fuel (units) | Chemical 1 (units) | Chemical 2 (units) | |||||
| 1 | 9 | 5 | 50 | 9 | 6 | ||||
| 2 | 6 | 8 | 75 | 12 | 4 | ||||
| 3 | 4 | 11 | 100 | 10 | 6 | ||||
| Amount available |
200 | 400 | 1850 | ||||||
A company makes a blend consisting of two chemicals, 1 and 2, in the ratio 5:2 by weight. These chemicals can be manufactured by three different processes using two different raw materials and a fuel. Production data are given in the table at the top. For how much time should each process be run in order to maximize the total amount of blend manufactured?